Holomorphic one-forms, fibrations over the circle, and characteristic numbers of Kähler manifolds

Kotschick, D. (2022): Holomorphic one-forms, fibrations over the circle, and characteristic numbers of Kähler manifolds. In: Mathematical Proceedings of the Cambridge Philosophical Society, Bd. 172, Nr. 1: S. 95-103

Abstract

We prove that the only relation imposed on the Hodge and Chern numbers of a compact Kähler manifold by the existence of a nowhere zero holomorphic one-form is the vanishing of the Hirzebruch genus. We also treat the analogous problem for nowhere zero closed one-forms on smooth manifolds.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0305-0041
• Sprache: Englisch